Flights will get under way on 29 March next year.
The budget carrier will operate the route 13 times a week, year-round.
It expects to carry 180,000 passengers on the route in its first year.
EasyJet will operate the route using Airbus A319 and A320 aircraft.
Ali Gayward, EasyJet UK country manager, said: The connection of two major UK cities is great for the Midlands region and the positive benefits it will bring in supporting the UK economy.”
Nick Barton, Birmingham airport chief executive, added: “This announcement is great news for travellers, as it gives more capacity and choice between Birmingham and the popular city of Glasgow.”
